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If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?

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If we need magnification of 375 from a microscope of tube length 15 cm and objective of focal length 0.5 cm, what focal length of eye-piece should we use?

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Magnification m = 375

Length of the tube L = 15 cm

Focal length of the objective fo = 0.5 cm

We know that

Magnification m = L/fo (D+ fe/fe)

375 = 15/0.5(25 +fe/fe)

= 30(25 +fe/fe)

25 = 2(25 +fe/fe)

25fe = 50+ 2fe

23fe = 50

fe = 50/23 = 2.17 cm

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